15625 A student who didn't study randomly guessed on each question. b) How many ways are there for the student to get all of the answers correct? c) How many ways are there for the student to get all of the answers wrong? d) How many ways are there for the student to get questions 1 and 3 correct and the rest of

College Algebra
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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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I already answered part A, I need help with part b,c,d

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Counting
A class is taking a multiple choice exam. There are 6 questions and 5 possible answers for each question where exactly
one answer is correct.
a) How many different ways are there to answer all the questions on the exam?
15625
A student who didn't study randomly guessed on each question.
b) How many ways are there for the student to get all of the answers correct?
c) How many ways are there for the student to get all of the answers wrong?
d) How many ways are there for the student to get questions 1 and 3 correct and the rest of the answers wrong?
Transcribed Image Text:Counting A class is taking a multiple choice exam. There are 6 questions and 5 possible answers for each question where exactly one answer is correct. a) How many different ways are there to answer all the questions on the exam? 15625 A student who didn't study randomly guessed on each question. b) How many ways are there for the student to get all of the answers correct? c) How many ways are there for the student to get all of the answers wrong? d) How many ways are there for the student to get questions 1 and 3 correct and the rest of the answers wrong?
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